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Search: id:A053129
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| A053129 |
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Binomial coefficients C(2n-6,7). |
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+0
5
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| 8, 120, 792, 3432, 11440, 31824, 77520, 170544, 346104, 657800, 1184040, 2035800, 3365856, 5379616, 8347680, 12620256, 18643560, 26978328, 38320568, 53524680, 73629072, 99884400, 133784560, 177100560, 231917400, 300674088, 386206920
(list; graph; listen)
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OFFSET
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7,1
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COMMENT
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a(n)=-A053123(n,7), n >= 7; a(n) := 0, n=0..6,(eighth column of shifted Chebyshev's S-triangle, decreasing order)
a(n)= 8*A000973(n).
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings).
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LINKS
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Milan Janjic, Two Enumerative Functions
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
Index entries for sequences related to Chebyshev polynomials.
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FORMULA
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a(n)= binomial(2*n-6, 7) if n >= 7 else 0; G.f.: (8+56*x+56*x^2+8*x^3)/(1-x)^8.
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CROSSREFS
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Cf. A053123, A053128, A000973.
Adjacent sequences: A053126 A053127 A053128 this_sequence A053130 A053131 A053132
Sequence in context: A046914 A116008 A086302 this_sequence A045899 A004381 A130979
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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